Quiescent optical solitons with complex Ginzburg–Landau equation having a dozen forms of self–phase modulation [PDF]
Heliyon, 2023 The current study focuses on the recovery of quiescent optical solitons through the use of the complex Ginzburg–Landau equation when the chromatic dispersion is rendered to be nonlinear.
Ahmed H. Arnous +5 more
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Results in Physics, 2022 This paper secures exact solutions from perturbed complex Ginzburg–Landau equation that is taken into account with Kerr law and cubic–quintic–septic nonlinearity.
Ming-Yue Wang
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Analytical wave families and stability dynamics in a modified complex Ginzburg–Landau model via the modified extended direct algebraic method [PDF]
Scientific ReportsThis study investigates the Modified Complex Ginzburg–Landau Equation, a fundamental nonlinear partial differential equation that plays a central role in modeling complex wave dynamics, pattern formation, and dissipative phenomena in systems such as ...
Adel E. Rateb +4 more
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Analytic Solutions of 2D Cubic Quintic Complex Ginzburg-Landau Equation
Journal of Applied Mathematics, 2023 The dynamical behaviour of traveling waves in a class of two-dimensional system whose amplitude obeys the two-dimensional complex cubic-quintic Ginzburg-Landau equation is deeply studied as a function of parameters near a subcritical bifurcation.
F. Waffo Tchuimmo +5 more
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Propagation of solitary waves for hydrodynamical nonlinear complex model in a fractional derivative setting [PDF]
Scientific ReportsThis study investigates soliton solutions and dynamic wave behaviors in the complex Ginzburg–Landau equation, a model that plays a central role in describing diverse physical phenomena such as superconductivity, nonlinear optical fibers, liquid crystals,
Muhammad Bilal +6 more
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Results in Physics, 2021 This article obtains the optical solitons of the complex fractional Ginzburg–Landau equation by the hypothesis of traveling wave and generalized projective Riccati equation scheme.
Saima Arshed +4 more
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Solitons and Jacobi Elliptic Function Solutions to the Complex Ginzburg–Landau Equation
Frontiers in Physics, 2020 The complex Ginzburg–Landau (CGL) equation which describes the soliton propagation in the presence of the detuning factor is firstly considered; then its solitons as well as Jacobi elliptic function solutions are obtained systematically using a modified ...
Kamyar Hosseini +6 more
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Complex Ginzburg–Landau Equation with Generalized Finite Differences
Mathematics, 2020 In this paper we obtain a novel implementation for irregular clouds of nodes of the meshless method called Generalized Finite Difference Method for solving the complex Ginzburg–Landau equation.
Eduardo Salete +5 more
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Highly dispersive optical soliton perturbation with Kerr law for complex Ginzburg–Landau equation [PDF]
Proceedings of the Estonian Academy of Sciences, 2023 In this paper, highly dispersive optical solitons are obtained with the perturbed complex GinzburgâLandau equation, incorporating the Kerr law of nonlinearity, by the complete discriminant classification approach.
Ming-Yue Wang +5 more
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Fractal modification of complex Ginzburg–Landau model arising in the oscillating phenomena
Results in Physics, 2020 The complex Ginzburg-Landau Equation (CGLE) is one of the non-trivial models for addressing the dynamics of oscillating, highly nonlinear processes right before the start of oscillations. This paper presents the complex Ginzburg-Landau fractal model with
Yasir Khan
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